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Finding the Fourth Proportional to 109,951.90, 164,927.85 and 71,898.10

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Solution

The fourth proportional to 109,951.90, 164,927.85 and 71,898.10 is: 107,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,951.90 : 164,927.85 = 71,898.10 : x
  2. Step 2: Convert to fraction form
    109,951.90/164,927.85 = 71,898.10/x
  3. Step 3: Cross multiply
    109,951.90x = 164,927.85 × 71,898.10
  4. Step 4: Simplify right side
    109,951.90x = 11,857,999,052.09
  5. Step 5: Solve for x
    x = 11,857,999,052.09/109,951.90
  6. Step 6: Final answer
    x = 107,847.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.